Seminar in Real and Complex Geometry
Wednesday, 15.04.2015, 16:00-17:00,
Schreiber
building, room 210
Shachar Carmeli,
Weizmann Institute
On the stability and Gelfand property of symmetric pairs
Abstract
A symmetric pair of reductive groups (G,H) over a local field of characteristic 0 is
called stable if every closed double coset of H in G is preserved by the anti
involution corresponding to H. This property is closely related to the Gelfand
property. In my talk I present a method to decide the stability of symmetric pairs. I
also link this property with the uniqueness of open orbits of H in parabolic quotients
of G and use the method to produce many examples of Gelfand pairs.
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